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Associate Professor : Kunikawa, Keita |
○ | Mathematics |
○ | geometric analysis, differential geometry (geometric flows, heat equation, minimal submanifolds) |
1. | Keita Kunikawa and Yohei Sakurai : Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition, Proceedings of the American Mathematical Society, Vol.150, No.4, 1767-1777, 2022. (DOI: 10.1090/proc/15768) |
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2. | Keita Kunikawa and Sakurai Yohei : Liouville theorem for harmonic map heat flow along ancient super Ricci flow via reduced geometry, Calculus of Variations and Partial Differential Equations, Vol.60, No.5, 199, 2021. (DOI: 10.1007/s00526-021-02079-2, CiNii: 1360857593647552640) |
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3. | Keita Kunikawa and Yohei Sakurai : Liouville theorem for heat equation along ancient super Ricci flow via reduced Geometry, Journal of Geometric Analysis, Vol.31, 11899-11930, 2021. (DOI: 10.1007/s12220-021-00705-1) |
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4. | Keita Kunikawa : On Ecker's local integral quantity at infinity for ancient mean curvature flows, Annals of Global Analysis and Geometry, Vol.58, 253-266, 2020. (DOI: 10.1007/s10455-020-09724-7) |
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5. | Keita Kunikawa and Ryosuke Takahashi : Convergence of mean curvature flow in hyper-Kähler manifolds, Pacific Journal of Mathematics, Vol.305, No.2, 667-691, 2020. (DOI: 10.2140/pjm.2020.305.667) |
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6. | Keita Kunikawa and Kajigaya Toru : A convergence of generalized Lagrangian mean curvature flow in Kähler manifold of positive weighted Ricci form, Advanced Studies in Pure Mathematics, Vol.85, 205-214, 2020. |
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7. | Keita Kunikawa and Shunsuke Saito : Remarks on topology of stable translating solutions, Geometriae Dedicata, Vol.202, No.1, 1-8, 2018. (DOI: 10.1007/s10711-018-0399-1) |
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8. | Keita Kunikawa : Non-existence of eternal solutions to Lagrangian mean curvature flow with non-negative Ricci curvature, Geometriae Dedicata, Vol.201, No.1, 369-377, 2018. (DOI: 10.1007/s10711-018-0397-3) |
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9. | Keita Kunikawa and Toru Kajigaya : Hamiltonian stability for weighted measure and generalized Lagrangian mean curvature flow, Journal of Geometry and Physics, Vol.128, 140-168, 2018. (DOI: 10.1016/j.geomphys.2018.02.011) |
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10. | Keita Kunikawa : Translating solitons in arbitrary codimension, Asian Journal of Mathematics, Vol.21, No.5, 855-872, 2018. (DOI: 10.4310/AJM.2017.v21.n5.a4) |
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11. | Keita Kunikawa : A Bernstein type theorem of ancient solutions to the mean curvature flow, Proceedings of the American Mathematical Society, Vol.144, No.3, 1325-1333, 2015. |
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12. | Keita Kunikawa : Bernstein-type theorem of translating solitons in arbitrary codimension with flat normal bundle, Calculus of Variations and Partial Differential Equations, Vol.54, No.2, 1331-1344, 2015. |
1. | Keita Kunikawa : 平均曲率流方程式, 数理科学, Vol.62, No.2, 30-37, Feb. 2024. (CiNii: 1520017611545664256) |
1. | Keita Kunikawa : Self-shrinkerのモース指数評価と今後の課題, RIMS共同研究(公開型) 部分多様体と離散化の幾何学, Jun. 2024. |
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2. | Keita Kunikawa : 余次元の高いself-shrinkerのモース指数評価, 福岡大学微分幾何セミナー, Apr. 2024. |
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3. | Keita Kunikawa : Index estimate for self-shrinkers in higher codimension, MATRIX-RIMS Tandem Workshop: Evolutionary Partial Differential Equations and Applications, Mar. 2024. |
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4. | Keita Kunikawa : Index estimate for self-shrinkers in higher codimension, The 4th International Conference on Surfaces, Analysis, and Numerics in Differential Geometry, Feb. 2024. |
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5. | Keita Kunikawa : Morse index and first Betti number for self-shrinkers in higher codimension, 部分多様体幾何とリー群作用2023, Nov. 2023. |
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6. | Keita Kunikawa : Morse index estimate via first Betti number for self-shrinkers in higher codimension, The 8th China-Japan Geometry Conference, Sep. 2023. |
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7. | Keita Kunikawa : 余次元の高いself-shrinkerのベッチ数によるMorse index評価, -, Jul. 2023. |
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8. | Keita Kunikawa : Liouville type theorem for harmonic maps of controlled growth, NCTS Seminar on Differential Geometry, Jun. 2023. |
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9. | Keita Kunikawa : Liouville type theorem for harmonic maps of controlled growth, BIMSA-BIT Differential Geometry Seminar, May 2023. |